Question

an engineer bills to simple pendula both are suspended from small wire secured to the ceiling of a room each pendulum hovers 50 cm above the floor the first pendulum has a bubble with a mass of 10 kg while the second has a bob with a mass of 100 kg. What would happen to the period of the pendulum if the bugs were to be this place that's about 12 degrees?​

Answer 1

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Question

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A pendulum made of a uniform wire of cross sectional area A has time period T. When an additional mass M is added to its bob, the time period changes to T

M

. If the Young's modulus of the material of the wire is Y then

Y

1

is equal to: ( g= gravitational acceleration)

Medium

Solution

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Correct option is

D

[(

T

T

M

)

2

−1]

Mg

A

Time period, T=2π

g

l

When additional mass M is added to its bob

T

M

=2π

g

l+△l

△l=

AY

Mgl

⇒T

M

=2π

g

l+

AY

Mgl

(

T

T

M

)

2

=1+

AY

Mg

Y

1

=

Mg

A

[(

T

T

M

)

2

−1]

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